Modeling Method of Meshing Stiffness of High Speed Spur Gears
DOI:
https://doi.org/10.62051/ijmee.v3n3.02Keywords:
Time-varying Mesh Stiffness, Gear ModelingAbstract
As one of the most important dynamic excitation sources, the gear time-varying mesh stiffness is the key parameter of gear system dynamic model. So how to calculate the gear mesh stiffness accurately is of great importance. Based on Euler beam theory, this paper proposes a primitive calculation algorithm (PCA) to calculate the time-varying mesh stiffness of spur gears. A simplified gear model is developed based on nonlinear strain-displacement relationships, and a finite element program is used to simulate the gear's meshing stiffness. The rationality of this method was verified through finite element analysis. The results indicate that mesh stiffness plays a crucial role in controlling mesh deformation. In view of this, this study lays a theoretical foundation for further analysis of the vibration and noise of gears.
References
[1] Tatar A., Schwingshackl C.W., Friswell M.I. Modal sensitivity of three-dimensional planetary geared rotor systems to planet gear parameters[J]. Applied Mathematical Modelling. 2023; 113: 309-332.
[2] Ma G., Jiang Q., Zong X., et al. Identification of flexural rigidity for Euler–Bernoulli beam by an iterative algorithm based on least squares and finite difference method[J]. Structures. 2023; 55: 138-146.
[3] Zhang C., Dong H., Wang D., et al. A new effective mesh stiffness calculation method with accurate contact deformation model for spur and helical gear pairs[J]. Mechanism and Machine Theory. 2022; 171: 104762.
[4] Jiang H., Liu F., Zhang J., et al. Mesh stiffness modeling and dynamic simulation of spur gears with body crack under speed fluctuation condition[J]. Mechanics Based Design of Structures Machines. 2024.
[5] Guan H., Ni K., Ma H., et al. Dynamic modeling and verification of rotating compressor blade with crack based on beam element[J]. Applied Mathematical Modelling. 2024; 133: 367-393.
[6] Liu G., Liu F., Ma T., et al. Dynamic analysis of spur gears system with dynamic force increment and velocity-dependent mesh stiffness[J]. Nonlinear Dynamics. 2023; 111(15): 13865-13887.
[7] Liu C., Yang C., Zhao Y., et al. Dynamic modeling and analysis of high-speed flexible planetary gear transmission systems[J]. Alexandria Engineering Journal. 2023; 80: 444-464.
[8] Yang L.H., Mao Z., Wu S.M., et al. Nonlinear dynamic behavior of rotating blade with breathing crack[J]. Frontiers of Mechanical Engineering. 2021; 16(1): 196-220.
[9] Cooley C.G., Liu C., Dai X., et al. Gear tooth mesh stiffness: A comparison of calculation approaches[J]. Mechanism and Machine Theory. 2016; 105: 540-553.
[10] Dai X., Cooley C.G., Parker R.G. An Efficient Hybrid Analytical-Computational Method for Nonlinear Vibration of Spur Gear Pairs[J]. Journal of Vibration and Acoustics 2018; 141(1): 13.
[11] Zheng X., Luo W., Hu Y., et al. Study on the mesh stiffness and nonlinear dynamics accounting for centrifugal effect of high-speed spur gears[J]. Mechanism and Machine Theory. 2022; 170: 104686.
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